TR98-08

Beyond Euclidean Eigenspaces: Bayesian Matching for Visual Recognition


    •  Baback Moghaddam, Alex Pentland, "Beyond Euclidean Eigenspaces: Bayesian Matching for Visual Recognition", Tech. Rep. TR98-08, Mitsubishi Electric Research Laboratories, Cambridge, MA, June 1998.
      BibTeX TR98-08 PDF
      • @techreport{MERL_TR98-08,
      • author = {Baback Moghaddam, Alex Pentland},
      • title = {Beyond Euclidean Eigenspaces: Bayesian Matching for Visual Recognition},
      • institution = {MERL - Mitsubishi Electric Research Laboratories},
      • address = {Cambridge, MA 02139},
      • number = {TR98-08},
      • month = jun,
      • year = 1998,
      • url = {https://www.merl.com/publications/TR98-08/}
      • }
  • Research Area:

    Computer Vision

Abstract:

We propose a novel technique for direct visual matching of images for the purposes of face recognition and database search. Specifically, we argue in favor of a probabilistic measure of similarity, in contrast to simpler methods which are based on standard Euclidean L2 norms (template matching) or subspace-restricted norms (eigenspace matching). The proposed similarity measure is based on a Bayesian analysis of image differences: we model two mutually exclusive classes of variation between two facial images: intra-personal (variations in appearance of the same individual, due to different expressions or lighting) and extra-personal (variations in appearance due to a difference in identity). The high-dimensional probability density functions for each respective class are then obtained from training data using an eigenspace density estimation technique and subsequently used to compute a similarity measure based on the a posteriori probability of membership in the intra-personal class, which is used to rank matches in the database. The performance advantage of this probabilistic matching technique over standard Euclidean nearest-neighbor eigenspace matching is demonstrated using results from ARPA's 1996 FERET face recognition competition, in which this algorithm was found to be the top performer.